EC255 Chapter Notes - Chapter 2: Collectively Exhaustive Events, Xu, Elementary
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Structure of probability: experiment: a process that produces an outcome, event: an outcome of an experiment, elementary events: events that cannot be decomposed or broken down into other events, e. g. A manufactured part is either effective or defective. Independent events: the occurrence of non-occurrence of one of the events does not affect the occurrence or non-occurrence of the other event: e. g. Rolling one dice does not affect the outcome of the second dice. In experiments, it is independent f the sampling is done with replacement: collectively exhaustive events: all possible elementary events for an experiment, complementary events: all the elementary events of an experiment not in a make up its complement. If event a of rolling a die is 5, then the complement to a are the other options (1,2,3,4,6: p(cid:894)a"(cid:895) = 1 p(a) Marginal, union, joint, and conditional probabilities: marginal probability: computed by dividing some subtotal by the whole, e. g.
